Continuous Jordan triple endomorphisms of P2\mathbb{P}_2

preprint2015arXivOpen access

Abstract

We describe the structure of all continuous Jordan triple endomorphisms of the set P2\mathbb{P}_2 of all positive definite 2×22\times 2 matrices thus completing a recent result of ours. We also mention an application concerning sorts of surjective generalized isometries on P2\mathbb{P}_2 and, as second application, we complete another former result of ours on the structure of sequential endomorphisms of finite dimensional effect algebras.

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